Title: The Marshall-Olkin exponentiated half logistic-type II Topp-Leone-G family of distributions with applications

Authors: Broderick Oluyede; Neo Dingalo; Fastel Chipepa

Addresses: Faculty of Sciences, Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana ' Faculty of Sciences, Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana ' Faculty of Sciences, Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana

Abstract: In this work, we develop and present a new family of probability distributions called Marshall-Olkin exponentiated half logistic-type II Topp-Leone-G (MO-EHL-TII-TL-G) distribution. Statistical properties and the maximum likelihood estimates of the parameters of the proposed family of distributions were derived. Some special cases of the new family of distributions are presented. The performance of the maximum likelihood estimates is assessed by carrying out a simulation study. Two real-life datasets from different areas are applied on one special model, namely, the Marshall-Olkin exponentiated half logistic-type II Topp-Leone-Weibull (MO-EHL-TII-TL-W) distribution to demonstrate the usefulness and applicability of the new family of distributions.

Keywords: Marshall-Olkin-G distribution; exponentiated half logistic-G distribution; type II Topp-Leone-G distribution.

DOI: 10.1504/IJMOR.2024.138905

International Journal of Mathematics in Operational Research, 2024 Vol.28 No.2, pp.163 - 194

Received: 24 Feb 2023
Accepted: 13 Mar 2023
Published online: 03 Jun 2024 *

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